US8837771B2 - Method and system for joint multi-organ segmentation in medical image data using local and global context - Google Patents
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- 230000000875 corresponding Effects 0.000 claims description 34
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- 230000004044 response Effects 0.000 claims description 10
- 238000007670 refining Methods 0.000 claims 10
- 210000003734 Kidney Anatomy 0.000 description 46
- 210000004185 Liver Anatomy 0.000 description 38
- 238000001514 detection method Methods 0.000 description 34
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- 238000002604 ultrasonography Methods 0.000 description 6
- 210000003484 anatomy Anatomy 0.000 description 4
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- G06T7/10—Segmentation; Edge detection
- G06T7/11—Region-based segmentation
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- G06T2207/20112—Image segmentation details
- G06T2207/20124—Active shape model [ASM]
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Abstract
Description
P(X|I)=P L(X|I)P G(X|I), (1)
where PL(X|I) and PG(X|I) are the local and global context posteriors, respectively.
P L(X|I)=Πi=1 D P L(x i |I). (2)
For modeling the local context posterior PL(x|I) for each landmark x, a discriminative detector is trained for the landmark x, that is:
P L(x|I)=(1|I[]|)ωL(x), (3)
where I[x] is the local image patch centered at x and ωL (x) is the discriminative detector trained based on annotated training data for the landmark x. In an exemplary implementation, the discriminative detector for each landmark can be trained based on annotated training data using a probabilistic boosting tree (PBT) and Haar-like features extracted from training data.
P G(X|I)=ΣyεΩ P G(X|I,y)P(y|I)=|ΣyεΩ P G(X|I[y]). (4)
In Equation (4), a uniform prior probability P(y|I)=| −1 is assumed.
P G(X|I[y])=K −1Σk=1 Kδ(X y□ 1D −d{circumflex over (X)} G,k y]). (5)
The nearest neighbors can be found as the points with the smallest Euclidean distance (e.g., distance between two image patches). Finding exact nearest neighbors can be challenging or slow in high dimensional spaces, so in an exemplary implementation approximate nearest neighbors are estimated. These neighbors are estimated found by constructing binary space partitioning trees, which is a binary tree that splits on a hyperplane. In an exemplary implementation, the hyperplanes are limited to be haar features. Accordingly, at each image patch I[y] in an image I, PG(X|I[y]) predicts a location for each of the D landmarks in the landmark vector x. Thus, a single scan of images patches in an image simultaneously provides predicted locations for all of the landmarks based on the global context.
According to an advantageous embodiment of the present invention, Equation (6) implies an efficient scheme in which the local detector trained for a given landmark is only evaluated for the locations of that landmark predicted from the global context posterior, instead of scanning the whole image with each local detector. This results in a significant reduction in computation.
where the function T is a 9D similarity transformation parameterized by the vector β=(tx,ty,tz,θx,θy,θz,sx,sy,sz), {ηi}i=1 N
τi=arg maxτ
TABLE 1 |
Accuracy and timing results for the shape key point detection using local, |
global, and local + global context posterior (measured in mm) |
Global | Local | Local + Global |
Spacing | Time | Median | Std | Time | Median | Std | Time | Median | Std |
1 | 0.86 | 26.1 | 18.8 | 2.42 s | 25.9 | 30.2 | 121.0 | 10.0 | 6.27 |
5 | 0.84 | 32.7 | 23.1 | — | — | — | 1.05 | 10.1 | 6.38 |
7 | 0.85 | 36.7 | 26.2 | — | — | — | 0.48 | 10.6 | 6.72 |
10 | 0.84 | 41.0 | 32.8 | — | — | — | 0.27 | 11.0 | 7.06 |
12 | 0.86 | 47.12 | 42.3 | — | — | — | 0.23 | 11.3 | 7.29 |
15 | 0.86 | 133.6 | 176.4 | — | — | — | 0.17 | 12.0 | 8.04 |
Regarding detection based on the global context, while it is possible to achieve faster evaluation times with a sparse sampling of the global context, the present inventors observed that a maximum a posteriori (MAP) estimate gave better results. Obtaining the MAP estimate requires populating a probability image and scanning through the image to get the MAP estimate. This is proportional to the number of landmarks, which is why no speed-up is reported in Table 1 for the timing results for key point detection using only the global context. Further, the accuracy of the global context posterior suffers from sparse sampling, and even when using dense sampling still performs worse that the local+global method. On the other hand, it is evident that the sparser sampling has little impact on the accuracy of the local+global method. The local classifier is computed using a constrained search over the volume (e.g., using bounds for the landmark positions relative to the image), but still achieves worse accuracy and is slower than the combined local+global posterior modeling.
TABLE 2 |
Accuracy and timing for segmentation results using our model compared to |
the state of the art MSL model. |
Liver | R. Kidney | L. Kidney |
Skip | Time(s) | Median | Q80 | Median | Q80 | Median | Q80 | ||
Detection & Shape initialization |
MSL | — | 1.91 s | 9.07 | 10.80 | 3.24 | 4.26 | 2.89 | 3.80 |
Local + Global | 5 | 1.13 | 7.43 | 8.58 | 3.71 | 5.23 | 3.67 | 5.14 |
7 | 0.51 | 7.51 | 8.92 | 4.00 | 5.29 | 3.90 | 5.91 | |
10 | 0.30 | 7.51 | 9.04 | 4.02 | 5.67 | 4.22 | 6.34 | |
12 | 0.24 | 7.69 | 9.24 | 4.11 | 6.32 | 4.40 | 6.46 | |
15 | 0.20 | 7.70 | 9.94 | 4.30 | 7.54 | 4.45 | 6.68 |
With boundary refinement |
MSL | — | 2.14 s | 4.77 | 6.00 | 2.12 | 2.48 | 2.03 | 2.34 |
Local + Global | 5 | 1.38 | 3.92 | 5.26 | 2.20 | 2.90 | 2.10 | 2.53 |
7 | 0.76 | 3.90 | 5.33 | 2.22 | 2.81 | 2.11 | 2.71 | |
10 | 0.55 | 3.90 | 5.24 | 2.29 | 3.03 | 2.15 | 2.91 | |
12 | 0.49 | 3.96 | 5.30 | 2.27 | 3.44 | 2.15 | 2.81 | |
15 | 0.44 | 4.14 | 5.46 | 2.33 | 3.51 | 2.18 | 3.25 | |
The error is driven up by some cases having large errors. Part of this error is due to not having enough training examples for the variance in appearance of the organs. For this reason, Table 2 reports the median surface-to-surface error (in mm) and the 80% quantile (Q80). During detection and shape initialization, it can be seen that the fast keypoint initialization can provide an approximate shape in as little as 0.3 seconds (for skip=10). The local+global context approach shows an improvement in shape initialization on the liver over the MSL approach, which is likely due to the use of more keypoints on the liver as opposed to MSL. For the final boundary refinement, it can be seen that the results are comparable in accuracy, with our approach being more efficient, e.g., three times faster if every 7th voxel is sampled in the global context.
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